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Finding the Fourth Proportional to 472,667.70, 709,045.62 and 188,289.36

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Solution

The fourth proportional to 472,667.70, 709,045.62 and 188,289.36 is: 282,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,667.70 : 709,045.62 = 188,289.36 : x
  2. Step 2: Convert to fraction form
    472,667.70/709,045.62 = 188,289.36/x
  3. Step 3: Cross multiply
    472,667.70x = 709,045.62 × 188,289.36
  4. Step 4: Simplify right side
    472,667.70x = 133,505,746,000.60
  5. Step 5: Solve for x
    x = 133,505,746,000.60/472,667.70
  6. Step 6: Final answer
    x = 282,451.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.